• 제목/요약/키워드: Principal Direction

검색결과 388건 처리시간 0.026초

Distortion and Dilatatioin in the Tensie Failure of Paper

  • Park, Jong-Moon;James L. Thorpe
    • 펄프종이기술
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    • 제31권5호
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    • pp.73-85
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    • 1999
  • Yield and fracture are separated in the tensile failure of paper. Failure in the machine direction of photocopy paper is contrasted with failure in the cross-machine direction . The ratios of distortion (shape change) to dilatation (volume change) for individual elements at yield and fracture are described. The ratios of distortion to dilatation are measured and compared to predicted values of the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density theory. To evaluate the effect of the angle from the principal material direction on the strain energy density factor, samples are prepared from machine direction to cross-machine direction in 15 degree intervals. the strain energy density of individual elements are obtained by the integration of stress from finite element analysis with elastic plus plastic strain energy density theory. Poison's ratio and the angle from the principal material direction have a great effect ion the ratio fo distortion to dilatation in paper. During the yield condition, distortion prevails over dilatation . At fracture, dilatation is at a maximum.

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PCA 기반 군집화를 이용한 해슁 기법 (A Hashing Method Using PCA-based Clustering)

  • 박정희
    • 정보처리학회논문지:소프트웨어 및 데이터공학
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    • 제3권6호
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    • pp.215-218
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    • 2014
  • 해슁(hashing)을 기반으로 한 근사 최근접 이웃 탐색(approximate nearest neighbors search, ANN search) 방법에서는 데이터 샘플들을 k-비트 이진 코드로 변환하는 해쉬 함수들을 이용함으로써 근접 이웃 탐색이 이진변환 공간에서 이루어지게 된다. 본 논문에서는 PCA 기반 군집화 방법인 Principal Direction Divisive Partitioning(PDDP)를 이용한 해슁 방법을 제안한다. PDDP는 가장 큰 분산을 가지는 클러스터를 선택하여 그 클러스터의 첫 번째 주성분 방향을 이용하여 두 개의 클러스터로 분할하는 과정을 반복적으로 시행하는 군집화 방법이다. 제안하는 해슁 방법에서는 PDDP에서 분할을 위해 사용하는 주성분방향을 바이너리 코딩을 위한 사영벡터로서 사용한다. 실험결과는 제안하는 방법이 다른 해슁 방법들과 비교하여 경쟁력 있는 방법임을 입증한다.

Quaternionic Direction Curves

  • Sahiner, Burak
    • Kyungpook Mathematical Journal
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    • 제58권2호
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    • pp.377-388
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    • 2018
  • In this paper, we define new quaternionic associated curves called quaternionic principal-direction curves and quaternionic principal-donor curves. We give some properties and relationships between Frenet vectors and curvatures of these curves. For spatial quaternionic curves, we give characterizations for quaternionic helices and quaternionic slant helices by means of their associated curves.

INTEGRAL CURVES CONNECTED WITH A FRAMED CURVE IN 3-SPACE

  • Mustafa Duldul;Zeynep Bulbul
    • 호남수학학술지
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    • 제45권1호
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    • pp.130-145
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    • 2023
  • In this paper, we define some integral curves connected with a framed curve in Euclidean 3-space. These curves include framed generalized principal-direction curve, framed generalized binormal-direction curve, framed principal-donor curve and framed Darboux-direction curve. We obtain some relations between the framed curvatures of new defined framed curves and framed curvatures of given framed curve. By using the obtained relationships we give some characterizations for such curves. We also give methods for constructing framed helix and framed slant helix from planar curves.

TWO DIMENSIONAL STUDY OF HYDRAULIC FRACTURING CRITERIA IN COHESIVE SOILS

  • 유택영사
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1994년도 연약지반처리위원회 봄 학술발표회 논문집 연약지반처리
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    • pp.3-12
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    • 1994
  • Based on the shear failure mechanism, hydraulic fracturing criteria are extended to three dimensional stress state. According to the situation of the directions of borehole and major principal stress axes, three equations can be derived for three dimensional hydraulic fracturing problems. By comparing these equations, a single criterion is selected for hydraulic fracturing pressure in cohesive soils. The criterion is a function of maximum principal stress, minimum principal stress and soil parameters in UU conditions. The equation indicates that with any increase in maximim principal stress, hydraulic fracturing pressure decreases. In order to prove the integrity of the criteria, laboratory tests are performed on compacted cubical specimens using true a triaxial apparatus. The shape and direction of fractures are determined by injecting colored water after fracture initiation. It is found that the direction of fractures are perpendicular to the o1 plane.

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Undrained strength-deformation characteristics of Bangkok Clay under general stress condition

  • Yimsiri, Siam;Ratananikom, Wanwarang;Fukuda, Fumihiko;Likitlersuang, Suched
    • Geomechanics and Engineering
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    • 제5권5호
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    • pp.419-445
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    • 2013
  • This paper presents an experimental study on the influence of principal stress direction and magnitude of intermediate principal stress on the undrained stress-strain-strength behaviors of Bangkok Clay. The results of torsional shear hollow cylinder and advanced triaxial tests with various principal stress directions and magnitudes of intermediate principal stress on undisturbed Bangkok Clay specimens are presented. The analysis of testing results include: (i) stress-strain and pore pressure behaviors, (ii) stiffness characteristics, and (iii) strength characteristics. The results assert clear evidences of anisotropic characteristics of Bangkok Clay at pre-failure and failure conditions. The magnitude of intermediate principal stress for plane-strain condition is also investigated. Both failure surface and plastic potential in deviatoric plane of Bangkok Clay are demonstrated to be isotropic and of circular shape which implies an associated flow rule. It is also observed that the shape of failure surface in deviatoric plane changes its size, while retaining its circular shape, with the change in direction of major principal stress. Concerning the behavior of Bangkok Clay found from this study, the discussions on the effects of employed constitutive modeling approach on the resulting numerical analysis are made.

Processing of Downhole S-wave Seismic Survey Data by Considering Direction of Polarization

  • Kim, Jin-Hoo;Park, Choon-B.
    • 지구물리
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    • 제5권4호
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    • pp.321-328
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    • 2002
  • 하향식 시추공 횡파탐사의 어려움에는 횡파 주시를 정확하게 결정하는 문제와 입자의 분극 방향에 대한 지오폰의 상대적 방향을 결정하는 문제를 포함한다. 본 연구에서는 횡파 증진법과 주성분 분석법을 적용하여 횡파 주시와 입자의 분극 방향을 결정하였다. 횡파 증진법은 횡파의 진폭을 거의 두 배 가까이 키울 수 있었으며, 주성분 분석법을 통하여 입자의 분극 방향과 지오폰 방향과의 각도 차이를 알 수 있었다. 이렇게 구한 각도를 이용하여 지오폰에 수집된 기록을 주성분 방향에 투영하여 스코어를 산출하였다. 스코어를 이용하여 수집된 기록들은 모두 동일 위상을 갖게 되어 횡파주시 결정의 정확도를 크게 향상시킬 수 있었다. 이와 같은 자료처리 방법을 현장 자료에 적용시킨 결과 시험 현장이 층상구조를 갖고 있음을 밝힐 수 있었다.

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K0-압밀점토(壓密粘土)의 주응력회전(主應力回轉) 효과(効果) (The Effects of Principal Stress Rotation in K0-Consolidated Clay)

  • 홍원표
    • 대한토목학회논문집
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    • 제8권1호
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    • pp.159-164
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    • 1988
  • 연직하중(鉛直荷重), 구속압(拘束壓) 및 torque를 각각 독립적으로 작용시킬 수 있는 비틀림전단시험(剪斷試驗)을 실시하여 주응력축(主應力軸)을 회전(回轉)시켰을 경우, 변형율증분방향(變形率增分方向)과 응력방향(應力方向) 혹은 응력증분방향(應力增分方向) 사이의 관계가 조사되었다. 이 비틀림전단시험(剪斷試驗)은 $K_0$-압밀점토시료(壓密粘土試料)에 대하여 비배수(非排水) 및 배수(排水) 상태하에서 주응력축회전(主應力軸回轉)이 가능한 전 응력경로(應力徑路)로 실시되었다. 본(本) 연구(硏究)결과 파괴시의 변형율증분(變形率增分)벡터의 방향은 응력(應力)벡터방향과 일치함을 알 수 있었다. 즉 변형율증분(變形率增分)벡터방향은 초기의 낮은 응력단계(應力段階)에서는 응력증분(應力增分)벡터 방향과 일치하지만 높은 응력단계(應力段階)에서는 응력(應力)벡터방향과 일치하게 된다. 이는 점토(粘土)의 거동(擧動)이 응력의 증가에 따라 탄성(彈性)에서 소성(塑性)으로 변천되어 감을 의미한다. 따라서 주응력축회전(主應力軸回轉)시의 점토거동(粘土擧動)의 구성식화(構成式化)에는 탄소성이론(彈塑性理論)의 적용이 가능함이 입증되었다.

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광탄성 위상이동법을 이용한 주응력 방향 측정법 (Measurement of Principal Stress Direction by Photoelastic Phase Shifting Method)

  • 김명수;김환;백태현
    • 대한기계학회논문집A
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    • 제28권12호
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    • pp.1982-1989
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    • 2004
  • In photoelasticity, the directions of principal stresses are given by isoclinic fringe patterns. In this study, photoelastic theory is represented by Jones calculus and the photoelastic 8-step phase shifting method is described. A feasibility study using computer simulation is done to get isoclinics from photoelastic fringes of a circular disk under diametral compression. Fringe patterns of the disk are generated from the stress-optic law. The magnitudes of isoclinics obtained from the fringe patterns of computer simulation and experiment are compared with those of theory. The results are close between them. Then, the 8-step phase shifting method is applied to get distributions of isoclinics along the specified lines of a cuved beam plate under tensile load. Experimental results obtained from the phase shifting method were compared with those of finite element analysis (ANSYS). It is confirmed that measurement of isoclinic distributions is possible by use of photoelasitc phase shifting method.

Shear response estimate for squat reinforced concrete walls via a single panel model

  • Massone, Leonardo M.;Ulloa, Marco A.
    • Earthquakes and Structures
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    • 제7권5호
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    • pp.647-665
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    • 2014
  • Squat reinforced concrete walls require enough shear strength in order to promote flexural yielding, which creates the need for designers of an accurate method for strength prediction. In many cases, especially for existing buildings, strength estimates might be insufficient when more accurate analyses are needed, such as pushover analysis. In this case, estimates of load versus displacement are required for building modeling. A model is developed that predicts the shear load versus shear deformation of squat reinforced concrete walls by means of a panel formulation. In order to provide a simple, design-oriented tool, the formulation considers the wall as a single element, which presents an average strain and stress field for the entire wall. Simple material constitutive laws for concrete and steel are used. The developed models can be divided into two categories: (i) rotating-angle and (ii) fixed-angle models. In the first case, the principal stress/strain direction rotates for each drift increment. This situation is addressed by prescribing the average normal strain of the panel. The formation of a crack, which can be interpreted as a fixed principal strain direction is imposed on the second formulation via calibration of the principal stress/strain direction obtained from the rotating-angle model at a cracking stage. Two alternatives are selected for the cracking point: fcr and 0.5fcr (post-peak). In terms of shear capacity, the model results are compared with an experimental database indicating that the fixed-angle models yield good results. The overall response (load-displacement) is also reasonable well predicted for specimens with diagonal compression failure.